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Finding the Fourth Proportional to 285,510.22, 428,319.40 and 114,745.20

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Solution

The fourth proportional to 285,510.22, 428,319.40 and 114,745.20 is: 172,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,510.22 : 428,319.40 = 114,745.20 : x
  2. Step 2: Convert to fraction form
    285,510.22/428,319.40 = 114,745.20/x
  3. Step 3: Cross multiply
    285,510.22x = 428,319.40 × 114,745.20
  4. Step 4: Simplify right side
    285,510.22x = 49,147,596,270.98
  5. Step 5: Solve for x
    x = 49,147,596,270.98/285,510.22
  6. Step 6: Final answer
    x = 172,139.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.